What is the Least Common Multiple of 38319 and 38337?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 38319 and 38337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38319 and 38337, than apply into the LCM equation.

GCF(38319,38337) = 3
LCM(38319,38337) = ( 38319 × 38337) / 3
LCM(38319,38337) = 1469035503 / 3
LCM(38319,38337) = 489678501

Least Common Multiple (LCM) of 38319 and 38337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38319 and 38337. First we will calculate the prime factors of 38319 and 38337.

Prime Factorization of 38319

Prime Factorization of 38337

Now multiplying the highest exponent prime factors to calculate the LCM of 38319 and 38337.

LCM(38319,38337) = 3¹ × 53¹ × 241¹ × 13¹ × 983¹
LCM(38319,38337) = 489678501